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The radius of a circle is 2 kilometers. What is the area of a sector bounded by a 36° arc?

answer has to be in SIMPLEST form

PLEASE PLEASE PLEASE HELP ME IM SO CLOSE TO GETTING THE SCORE I NEED Explaining Your Answer Brainliest The Radius Of A Circle Is 2 Kilometers What Is The Area O class=

Answer :

Answer:

[tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Step-by-step explanation:

In this problem, we will use the following formula:

  • A = [tex](\frac{C}{360}) \pi r^{2}[/tex] , where r = radius & C = central angle

Step 1: Plug in for C and r.

  • A =  [tex](\frac{C}{360} )\pi r^{2}[/tex]
  • A = [tex](\frac{36}{360})\pi 2^{2}[/tex]

Step 2: Solve.

  • A = [tex](\frac{1}{10})4\pi[/tex]
  • A =  [tex]\frac{2}{5} \pi[/tex]

Final answer (simplified & exact):  [tex]\frac{2}{5} \pi[/tex] [tex]km^{2}[/tex]

Sorry it took so long to complete... kinda started with the wrong answer... But I hope this helps and that you have a great rest of your day!

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